A curvature of a submanifold of a manifold which depends on its particular embedding. Examples of extrinsic curvature include the curvature and torsion of curves in three-space, or the mean curvature of surfaces in three-space.

# Extrinsic Curvature

## See also

Curvature, Intrinsic Curvature, Mean Curvature## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Extrinsic Curvature."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/ExtrinsicCurvature.html